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GCF of 6767/664, 8039/835

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6767/664, 8039/835 i.e 1/554440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6767/664, 8039/835.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6767/664,8039/835?

Given fractions are 6767/664,8039/835

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6767/664,8039/835, numerators are 6767,8039

Denominators are 664,835

The GCF of 6767,8039 is 1 .

LCM of 664,835 is 554440.

The greatest common factor of 6767/664,8039/835 = [GCF of 6767,8039]/[LCM of 664,835]= 1/554440

Therefore, the GCF of 6767/664,8039/835 is 1/554440.

Greatest Common Factor of 6767,8039

To find the highest common factor of 6767,8039, we have to find the factors of both numbers and list the highest common factor.

The factors of 6767 are 1, 67, 101, 6767

The factors of 8039 are 1, 8039

The HCF of 6767,8039 is 1.

Lets's calculate GCF of 6767,8039

Greatest Common Factor (GCF) of 6767,8039 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6767,8039 By Matching Biggest Common Factor Method

Greatest Common Factor of 6767,8039 By Matching Biggest Common Factor Method

Now, list down the factors of 6767

:

1,67,101,6767

Now, list down the factors of 8039

:

1,8039

Greatest Common Factor

We found the factors 6767,8039 . The biggest common factor number is the GCF number.
So the greatest common factor 6767,8039 is 1.

Lets's calculate LCM of 664,835

Lowest Common Multiple of 664,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 554440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554440

Therefore, the GCF of Fractions 6767/664,8039/835 is 1/554440

Least Common Multiple of 664,835 with GCF Formula

Least Common Multiple of 664,835 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 664,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,835) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(664,835) x common factors =1 x 1 = 1

LCM(664,835) = ( 664 × 835 ) / 1

LCM(664,835) = 554440 / 1

LCM(664,835) = 554440


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6767/664, 8039/835

1. What is the HCF of 6767,8039?

The HCF of 6767,8039 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6767/664, 8039/835?

Answer: GCF of Numerators as per given numbers 6767/664, 8039/835 is

GCF of Numerators i.e. for 6767,8039 is 1

LCM of denominators i.e. for 664,835 is 554440.

Thus, GCF of Fractions is 1/554440.Finally, GCF of Fractions for 6767/664, 8039/835 is 1/554440.